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Finding the Fourth Proportional to 423.71, 584.64 and 266.43

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Solution

The fourth proportional to 423.71, 584.64 and 266.43 is: 367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.71 : 584.64 = 266.43 : x
  2. Step 2: Convert to fraction form
    423.71/584.64 = 266.43/x
  3. Step 3: Cross multiply
    423.71x = 584.64 × 266.43
  4. Step 4: Simplify right side
    423.71x = 155,765.64
  5. Step 5: Solve for x
    x = 155,765.64/423.71
  6. Step 6: Final answer
    x = 367.63

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